Y Intercept: "A line that includes points (0, -3) has a y-intercept of ___?"

[landonm2772]

I need help solving and understanding the following problem:

A line that includes points (0,-3) has a y-intercept of _?

 

[Dr.Peterson]

I suppose you meant "A line that includes point (0,-3) has a y-intercept of _?" At first I thought there was a point missing.

But just think about the definition of y-intercept. In fact, tell us what definition you were given.

 

[Harry_the_cat]

Draw a diagram and you'll see!!

 

[Steven G]

I need to repeat that although (x,y) has two numbers it is ONE single point. Now plot the point and everything will be clear.

 

[pka]

I need help solving and understanding the following problem: A line that includes points (0,-3) has a y-intercept of _?

@landonm2772, suppose the question were: The non-horizontal line $\displaystyle \ell$ contains the point $\displaystyle (-6,0)$ then where does $\displaystyle \ell$ cross the $\displaystyle x\text{-axis}$. What would you answer?

 

[Steven G]

@landonm2772, suppose the question were: The non-horizontal line $\displaystyle \ell$ contains the point $\displaystyle (-6,0)$ then where does $\displaystyle \ell$ cross the $\displaystyle x\text{-axis}$. What would you answer?

Did you mean to say non-vertical line?

 

[Dr.Peterson]

Did you mean to say non-vertical line?

No, pka is proposing a new question with a similar but different issue. This time it's the x-intercept, not the y-intercept.

This is a good thing to consider, at least after figuring out the given question.

 

[pka]

Did you mean to say non-vertical line?

No, because a non-horizontal line must intersect the x-axis at exactly one point.